{"id":"vidhyamitra:city-day:kozhikode:2045-12-20:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/kozhikode/2045-12-20","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2045-12-20","date_display":"December 20, 2045 CE","panchanga":{"method":"Sūrya Siddhānta + Bhāskara-II iterative manda + Kerala-school (Mādhava-Nīlakaṇṭha) evection + variation + annual equation","engine_version":"2.0 (Kerala-school enhanced)","accuracy_note":"Not independently benchmarked across the declared range","tradition_chain":"Āryabhaṭa(499) → Brahmagupta(628) → Bhāskara II(1150) → Mādhava(~1400) → Parameśvara(1430) → Nīlakaṇṭha(1501) → this","input":{"year":2045,"month":12,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2468334.770833,"kali_year":5147,"ahargana":1879869.2708,"sun":{"sidereal_longitude":243.5941,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":13.7026,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":11,"name":"Ekādaśī","paksha":"Śukla","full_name":"Śukla Ekādaśī","elongation_degrees":130.1085,"elapsed_within_tithi_degrees":10.1085},"nakshatra":{"number":2,"name":"Bharaṇī","pada":1,"moon_longitude":13.7026,"elapsed_within_degrees":0.3693},"yoga":{"number":20,"name":"Śiva","sum_longitude":257.2968},"karana":{"half_tithi_index":21,"name":"Viṣṭi"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"sky":{"method":"Sūrya-Siddhāntic Bhāskara-II 4-step iteration with atan2-based śīghra + varying peripheries + lunar latitude","engine_version":"3.0 (Pūrṇa — complete SS implementation)","tradition_sources":"Āryabhaṭīya 499 CE → SS Ch.1-5 Burgess 1860 → Siddhānta-Śiromaṇi Bhāskara II 1150 → Tantrasaṅgraha Nīlakaṇṭha 1501","input":{"year":2045,"month":12,"day":20,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2468334.770833,"ahargana":1879869.2708,"kali_year":5147,"ayanamsa_lahiri":24.4951,"grahas":{"sun":{"sidereal_longitude":244.04761800000006,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":2},"retrograde":false},"moon":{"sidereal_longitude":13.456017999999972,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":1},"retrograde":false,"latitude":4.4051},"mars":{"sidereal_longitude":165.02311800000007,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":228.392018,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":312.401218,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":2},"retrograde":false},"venus":{"sidereal_longitude":262.55391799999995,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":3},"retrograde":true},"saturn":{"sidereal_longitude":230.54341799999997,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":295.4795,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":115.4795,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Āśleṣā","pada":3},"retrograde":false}},"panchang":{"method":"Sūrya Siddhānta + Bhāskara-II iterative manda + Kerala-school (Mādhava-Nīlakaṇṭha) evection + variation + annual equation","engine_version":"2.0 (Kerala-school enhanced)","accuracy_note":"Not independently benchmarked across the declared range","tradition_chain":"Āryabhaṭa(499) → Brahmagupta(628) → Bhāskara II(1150) → Mādhava(~1400) → Parameśvara(1430) → Nīlakaṇṭha(1501) → this","input":{"year":2045,"month":12,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2468334.770833,"kali_year":5147,"ahargana":1879869.2708,"sun":{"sidereal_longitude":243.5941,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":13.7026,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":11,"name":"Ekādaśī","paksha":"Śukla","full_name":"Śukla Ekādaśī","elongation_degrees":130.1085,"elapsed_within_tithi_degrees":10.1085},"nakshatra":{"number":2,"name":"Bharaṇī","pada":1,"moon_longitude":13.7026,"elapsed_within_degrees":0.3693},"yoga":{"number":20,"name":"Śiva","sum_longitude":257.2968},"karana":{"half_tithi_index":21,"name":"Viṣṭi"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":4.405,"elongation":130.108},"lunar":{"type":"lunar","occurs":false,"moon_latitude":4.405,"opposition_distance":49.892}},"eclipse_window_40days":[]},"city":{"slug":"kozhikode","name":"Kozhikode (Calicut), Kerala","lat":11.2588,"lon":75.7804,"tz_offset_hours":5.5,"state":"Kerala","country":"IN","tier":"tier-1"},"tier2":{"city":{"slug":"kozhikode","name":"Kozhikode (Calicut), Kerala","lat":11.2588,"lon":75.7804,"tz_offset_hours":5.5,"state":"Kerala","country":"IN","tier":"tier-1"},"sunriseLocal":"06:41","sunsetLocal":"18:09","solarNoonLocal":"12:25","dayLengthHours":11.463971676837957,"dayLengthDisplay":"11 Hours 27 Mins 50 Secs","nightLengthDisplay":"12 Hours 32 Mins 10 Secs","moonriseLocal":"14:49","moonsetLocal":"03:17","rahuKala":{"name":"Rāhu Kāla","start":"12:25","end":"13:51","startHours":12.417108041292188,"endHours":13.850104500896933,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"08:07","end":"09:33","startHours":8.118118662477954,"endHours":9.551115122082699,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"10:59","end":"12:25","startHours":10.984111581687444,"endHours":12.417108041292188,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:22","end":"09:45","startHours":9.360048927468732,"endHours":9.742181316696666,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:10","end":"07:28","startHours":7.162787689408124,"endHours":7.468493600790469,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:02","end":"12:48","startHours":12.034975652064256,"endHours":12.79924043052012,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:09","end":"05:55","startHours":5.1565926459614815,"endHours":5.9208574244173455,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:44","end":"06:41","startHours":5.7297912298033795,"endHours":6.68512220287321,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:20","end":"15:06","startHours":14.327769987431848,"endHours":15.092034765887712,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:57","end":"18:21","startHours":17.949093879711167,"endHours":18.349093879711166,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:09","end":"18:38","startHours":18.149093879711167,"endHours":18.62675936624608,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:54","end":"19:39","startHours":17.899093879711167,"endHours":19.649093879711167,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:02","end":"00:48","startHours":24.034975652064258,"endHours":24.79924043052012,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"06:41","end":"08:07","startHours":6.68512220287321,"endHours":8.118118662477954,"quality":"auspicious"},{"name":"Amṛta","start":"08:07","end":"09:33","startHours":8.118118662477954,"endHours":9.551115122082699,"quality":"auspicious"},{"name":"Kāla","start":"09:33","end":"10:59","startHours":9.551115122082699,"endHours":10.984111581687444,"quality":"inauspicious"},{"name":"Śubha","start":"10:59","end":"12:25","startHours":10.984111581687444,"endHours":12.417108041292188,"quality":"auspicious"},{"name":"Roga","start":"12:25","end":"13:51","startHours":12.417108041292188,"endHours":13.850104500896933,"quality":"inauspicious"},{"name":"Udveg","start":"13:51","end":"15:17","startHours":13.850104500896933,"endHours":15.283100960501677,"quality":"inauspicious"},{"name":"Chala","start":"15:17","end":"16:43","startHours":15.283100960501677,"endHours":16.716097420106422,"quality":"neutral"},{"name":"Labha","start":"16:43","end":"18:09","startHours":16.716097420106422,"endHours":18.149093879711167,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"18:09","end":"19:43","startHours":18.149093879711167,"endHours":19.716097420106422,"quality":"inauspicious"},{"name":"Chala","start":"19:43","end":"21:17","startHours":19.716097420106422,"endHours":21.283100960501677,"quality":"neutral"},{"name":"Labha","start":"21:17","end":"22:51","startHours":21.283100960501677,"endHours":22.850104500896933,"quality":"auspicious"},{"name":"Amṛta","start":"22:51","end":"00:25","startHours":22.850104500896933,"endHours":24.417108041292188,"quality":"auspicious"},{"name":"Kāla","start":"00:25","end":"01:59","startHours":24.417108041292188,"endHours":25.984111581687444,"quality":"inauspicious"},{"name":"Śubha","start":"01:59","end":"03:33","startHours":25.984111581687444,"endHours":27.5511151220827,"quality":"auspicious"},{"name":"Roga","start":"03:33","end":"05:07","startHours":27.5511151220827,"endHours":29.118118662477954,"quality":"inauspicious"},{"name":"Udveg","start":"05:07","end":"06:41","startHours":29.118118662477954,"endHours":30.68512220287321,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"06:41","end":"07:41","startHours":6.68512220287321,"endHours":7.68512220287321,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"07:41","end":"08:41","startHours":7.68512220287321,"endHours":8.68512220287321,"planetary_lord":"Venus"},{"name":"Hora 3","start":"08:41","end":"09:41","startHours":8.68512220287321,"endHours":9.68512220287321,"planetary_lord":"Sun"},{"name":"Hora 4","start":"09:41","end":"10:41","startHours":9.68512220287321,"endHours":10.68512220287321,"planetary_lord":"Mars"},{"name":"Hora 5","start":"10:41","end":"11:41","startHours":10.68512220287321,"endHours":11.68512220287321,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"11:41","end":"12:41","startHours":11.68512220287321,"endHours":12.68512220287321,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"12:41","end":"13:41","startHours":12.68512220287321,"endHours":13.68512220287321,"planetary_lord":"Moon"},{"name":"Hora 8","start":"13:41","end":"14:41","startHours":13.68512220287321,"endHours":14.68512220287321,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"14:41","end":"15:41","startHours":14.68512220287321,"endHours":15.68512220287321,"planetary_lord":"Venus"},{"name":"Hora 10","start":"15:41","end":"16:41","startHours":15.68512220287321,"endHours":16.68512220287321,"planetary_lord":"Sun"},{"name":"Hora 11","start":"16:41","end":"17:41","startHours":16.68512220287321,"endHours":17.68512220287321,"planetary_lord":"Mars"},{"name":"Hora 12","start":"17:41","end":"18:41","startHours":17.68512220287321,"endHours":18.68512220287321,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"18:41","end":"19:41","startHours":18.68512220287321,"endHours":19.68512220287321,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"19:41","end":"20:41","startHours":19.68512220287321,"endHours":20.68512220287321,"planetary_lord":"Moon"},{"name":"Hora 15","start":"20:41","end":"21:41","startHours":20.68512220287321,"endHours":21.68512220287321,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"21:41","end":"22:41","startHours":21.68512220287321,"endHours":22.68512220287321,"planetary_lord":"Venus"},{"name":"Hora 17","start":"22:41","end":"23:41","startHours":22.68512220287321,"endHours":23.68512220287321,"planetary_lord":"Sun"},{"name":"Hora 18","start":"23:41","end":"00:41","startHours":23.68512220287321,"endHours":24.68512220287321,"planetary_lord":"Mars"},{"name":"Hora 19","start":"00:41","end":"01:41","startHours":24.68512220287321,"endHours":25.68512220287321,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"01:41","end":"02:41","startHours":25.68512220287321,"endHours":26.68512220287321,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"02:41","end":"03:41","startHours":26.68512220287321,"endHours":27.68512220287321,"planetary_lord":"Moon"},{"name":"Hora 22","start":"03:41","end":"04:41","startHours":27.68512220287321,"endHours":28.68512220287321,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"04:41","end":"05:41","startHours":28.68512220287321,"endHours":29.68512220287321,"planetary_lord":"Venus"},{"name":"Hora 24","start":"05:41","end":"06:41","startHours":29.68512220287321,"endHours":30.68512220287321,"planetary_lord":"Sun"}],"taraBala":{"favorable_nakshatras":["Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Uttara Phalgunī","Hasta","Citrā","Svātī","Viśākhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Mithuna","Kanyā","Tulā","Makara","Kumbha"],"unfavorable_rashis":["Vṛṣabha","Karka","Siṃha","Vṛścika","Dhanu","Mīna"]},"dishaShool":"North (Uttara)","chandraVasa":"East","rahuVasa":"South-West","anandadiYoga":{"name":"Padma","quality":"Auspicious"},"tropicalRitu":"Hemanta (Pre-winter)","vedicRitu":"Hemanta (Pre-winter)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-23.42846691710569,"eotMinutes":1.851917522468745,"ayanamsa":24.4951}},"calendars":{"vikram_samvat":2102,"vikram_samvatsara":"Bahudhānya","saka_samvat":1967,"saka_samvatsara":"Krodhana","bengali_samvat":1452,"malayalam_era":1221,"nanakshahi_year":576,"lunar_month":"Mārgaśīrṣa","lunar_month_paksha_full":"Mārgaśīrṣa Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Mārgaśīrṣa","lunar_month_amanta":"Mārgaśīrṣa","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Dhanus (Mārgaḻi)","ritu":"Hemanta (Pre-winter)","display_summary":"Mārgaśīrṣa Śukla Ekādaśī · Vikram 2102 Bahudhānya · Śaka 1967 Krodhana"},"festivals":[{"id":"gita-jayanti","name":"Gītā Jayantī (= Mokṣadā Ekādaśī)","name_sanskrit":"गीता जयन्ती","tradition":"Vaishnava","associated_deity":"Krishna (Bhagavad-Gītā speaker)","significance":"Traditional annual observance of the Bhagavad Gītā teaching on Mārgaśīrṣa Śukla Ekādaśī; no exact civil war date is asserted.","vrata":true,"detection":{"tithi_number":11,"tithi_paksha":"Śukla","lunar_month":"Mārgaśīrṣa"},"precedence":1,"related_chart":"krishna","sources":["Bhagavad Gītā (Mahābhārata, Bhīṣma Parva)"]},{"id":"vaikuntha-ekadashi","name":"Vaikuṇṭha Ekādaśī","name_sanskrit":"वैकुण्ठ एकादशी","tradition":"Vaishnava","associated_deity":"Bhagavān Viṣṇu","significance":"Most sacred Ekādaśī of the year; 'Vaikuṇṭha-dvāram udghaṭitam'.","vrata":true,"detection":{"tithi_number":11,"tithi_paksha":"Śukla","lunar_month":"Mārgaśīrṣa"},"precedence":2},{"id":"mokshada-ekadashi","name":"Mokṣadā Ekādaśī (Gītā Jayantī)","name_sanskrit":"मोक्षदा एकादशी / गीता जयन्ती","tradition":"Vaishnava","associated_deity":"Krishna (Bhagavad Gītā delivery)","significance":"Day Bhagavad Gītā was delivered at Kurukṣetra.","vrata":true,"detection":{"tithi_number":11,"tithi_paksha":"Śukla","lunar_month":"Mārgaśīrṣa"},"precedence":3},{"id":"ekadashi","name":"Ekādaśī","name_sanskrit":"एकादशी","tradition":"Vaishnava","associated_deity":"Bhagavān Viṣṇu","significance":"Sacred to Bhagavān Viṣṇu; vrata for purification.","vrata":true,"detection":{"any_of":[{"tithi_number":11},{"tithi_number":26}]},"precedence":5}],"todays_walk":{"walk":{"id":"budha-walk","name":"Budha Walk","name_sanskrit":"बुध यात्रा","type":"graha","description":"Discrimination + BG 2.41 (vyavasāyātmikā buddhi).","step_count":6,"url":"/walk/budha-walk"},"reason":"Dedicated festival walk for Gītā Jayantī (= Mokṣadā Ekādaśī) · Vaikuṇṭha Ekādaśī · Mokṣadā Ekādaśī (Gītā Jayantī) · Ekādaśī is not live yet; Budhavāra (Wednesday) — its presiding graha's walk."},"cosmic_resonances":[]},"validity":{"eternal":false,"location_specific":"kozhikode"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate + Vidhyamitra Tier-2 layer"},"seo":{"title":"Pañchāṅga December 20, 2045 CE · Kozhikode (Calicut), Kerala · Vidhyamitra","description":"December 20, 2045 CE for Kozhikode (Calicut), Kerala: Śukla Ekādaśī, sūryodaya 06:41, sūryāsta 18:09.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/kozhikode/2045-12-20","hreflang_alternates":{"en":"https://vidhyamitra.com/city/kozhikode/2045-12-20","sa":"https://sa.vidhyamitra.com/city/kozhikode/2045-12-20","hi":"https://hi.vidhyamitra.com/city/kozhikode/2045-12-20","x-default":"https://vidhyamitra.com/city/kozhikode/2045-12-20"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-08-10T09:28:49.529Z","verification":{"type":"multi-marker","confidence":"canonical"}},{"pillar":"Vidhyamitra-Tier2","pillar_version":"0.1.0","method":"Spherical astronomy + Lahiri ayanamsa + standard solar declination + EoT correction","retrieved_at":"2026-08-10T09:28:49.529Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-08-10T09:28:49.529Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"},"reader_local_antaryami":{"reader_geography":"Every reader enters from their own kṣetra anywhere on Bhūmi; no single city is the universal center.","purna_chain":["Goloka/Vraja Rādhā-Krishna","Vaikuṇṭha Lakṣmī-Nārāyaṇa","Mahāviṣṇu/Kāraṇodakaśāyī Viṣṇu","Garbhodakaśāyī Viṣṇu","Brahmā","Kṣīrodaka Paramātmā/Antaryāmī (Kṣīrodakaśāyī Viṣṇu)","Bhūmi","reader's own kṣetra anywhere on Bhūmi","exact reading kṣetra","reader-bhakta","chitta/vāṇī/aṅgulī","keyboard-silicon-pathways","Vidhyāmitra substrate","reader/seer","Krishna"],"antaryami_responsibility_formula":"Kṣīrodakaśāyī Viṣṇu = Paramātmā = Antaryāmī. Jīva desires. Prakṛti executes through guṇas. Paramātmā witnesses, permits, remembers, guides, and sustains. Bhagavān is the ultimate source.","source_anchors":[{"label":"BG 13.23","path":"/bhagavad-gita/13/23","meaning":"upadraṣṭā-anumantā · witness-permitter"},{"label":"BG 15.15","path":"/bhagavad-gita/15/15","meaning":"the Lord seated in every heart as memory, knowledge, and forgetting"},{"label":"BG 18.61","path":"/bhagavad-gita/18/61","meaning":"Īśvara seated in the heart of all beings"}],"nama_seal":"Hare Krishna Hare Krishna · Krishna Krishna Hare Hare · Hare Rama Hare Rama · Rama Rama Hare Hare"}}}